{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.1010101 ,  0.2020202 ,  0.3030303 ,  0.4040404 ,\n",
       "        0.50505051,  0.60606061,  0.70707071,  0.80808081,  0.90909091,\n",
       "        1.01010101,  1.11111111,  1.21212121,  1.31313131,  1.41414141,\n",
       "        1.51515152,  1.61616162,  1.71717172,  1.81818182,  1.91919192,\n",
       "        2.02020202,  2.12121212,  2.22222222,  2.32323232,  2.42424242,\n",
       "        2.52525253,  2.62626263,  2.72727273,  2.82828283,  2.92929293,\n",
       "        3.03030303,  3.13131313,  3.23232323,  3.33333333,  3.43434343,\n",
       "        3.53535354,  3.63636364,  3.73737374,  3.83838384,  3.93939394,\n",
       "        4.04040404,  4.14141414,  4.24242424,  4.34343434,  4.44444444,\n",
       "        4.54545455,  4.64646465,  4.74747475,  4.84848485,  4.94949495,\n",
       "        5.05050505,  5.15151515,  5.25252525,  5.35353535,  5.45454545,\n",
       "        5.55555556,  5.65656566,  5.75757576,  5.85858586,  5.95959596,\n",
       "        6.06060606,  6.16161616,  6.26262626,  6.36363636,  6.46464646,\n",
       "        6.56565657,  6.66666667,  6.76767677,  6.86868687,  6.96969697,\n",
       "        7.07070707,  7.17171717,  7.27272727,  7.37373737,  7.47474747,\n",
       "        7.57575758,  7.67676768,  7.77777778,  7.87878788,  7.97979798,\n",
       "        8.08080808,  8.18181818,  8.28282828,  8.38383838,  8.48484848,\n",
       "        8.58585859,  8.68686869,  8.78787879,  8.88888889,  8.98989899,\n",
       "        9.09090909,  9.19191919,  9.29292929,  9.39393939,  9.49494949,\n",
       "        9.5959596 ,  9.6969697 ,  9.7979798 ,  9.8989899 , 10.        ])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.linspace(0,10,100)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.10083842,  0.20064886,  0.2984138 ,  0.39313661,\n",
       "        0.48385164,  0.56963411,  0.64960951,  0.72296256,  0.78894546,\n",
       "        0.84688556,  0.8961922 ,  0.93636273,  0.96698762,  0.98775469,\n",
       "        0.99845223,  0.99897117,  0.98930624,  0.96955595,  0.93992165,\n",
       "        0.90070545,  0.85230712,  0.79522006,  0.73002623,  0.65739025,\n",
       "        0.57805259,  0.49282204,  0.40256749,  0.30820902,  0.21070855,\n",
       "        0.11106004,  0.01027934, -0.09060615, -0.19056796, -0.28858706,\n",
       "       -0.38366419, -0.47483011, -0.56115544, -0.64176014, -0.7158225 ,\n",
       "       -0.7825875 , -0.84137452, -0.89158426, -0.93270486, -0.96431712,\n",
       "       -0.98609877, -0.99782778, -0.99938456, -0.99075324, -0.97202182,\n",
       "       -0.94338126, -0.90512352, -0.85763861, -0.80141062, -0.73701276,\n",
       "       -0.66510151, -0.58640998, -0.50174037, -0.41195583, -0.31797166,\n",
       "       -0.22074597, -0.12126992, -0.0205576 ,  0.0803643 ,  0.18046693,\n",
       "        0.27872982,  0.37415123,  0.46575841,  0.55261747,  0.63384295,\n",
       "        0.7086068 ,  0.77614685,  0.83577457,  0.8868821 ,  0.92894843,\n",
       "        0.96154471,  0.98433866,  0.99709789,  0.99969234,  0.99209556,\n",
       "        0.97438499,  0.94674118,  0.90944594,  0.86287948,  0.8075165 ,\n",
       "        0.74392141,  0.6727425 ,  0.59470541,  0.51060568,  0.42130064,\n",
       "        0.32770071,  0.23076008,  0.13146699,  0.03083368, -0.07011396,\n",
       "       -0.17034683, -0.26884313, -0.36459873, -0.45663749, -0.54402111])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = np.sin(x)\n",
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "cosy = np.cos(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y,color=\"#cc66ff\")\n",
    "plt.plot(x,cosy,linestyle=\":\")\n",
    "plt.xlim(-1,15) # x轴范围 可以没有\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y,color=\"#cc66ff\",label=\"sin\")\n",
    "plt.plot(x,cosy,linestyle=\":\",label=\"cos\")\n",
    "plt.axis([-1, 11, -2, 2])\n",
    "plt.xlabel(\"x 123\")\n",
    "plt.ylabel(\"y 123\")\n",
    "plt.title(\"welcome matplotlib\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 散点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y,color=\"#cc66ff\",label=\"sin\")\n",
    "plt.scatter(x,cosy,linestyle=\":\",label=\"cos\")\n",
    "plt.xlabel(\"x 123\")\n",
    "plt.ylabel(\"y 123\")\n",
    "plt.title(\"welcome matplotlib\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.normal(0,1,10000)\n",
    "y = np.random.normal(0,1,10000)\n",
    "plt.scatter(x,y, alpha=0.2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
